Pith Number

pith:YPILJ6ME

pith:2008:YPILJ6ME4UFS7CGB3OB2RXHOU7

not attested not anchored not stored refs pending

Affine Deligne-Lusztig varieties in affine flag varieties

Daniel C. Reuman, Robert E. Kottwitz, Thomas J. Haines, Ulrich Goertz

arxiv:0805.0045 v4 · 2008-05-01 · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPILJ6ME4UFS7CGB3OB2RXHOU7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:02:44.909462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d0b4f984e50b2f88c1db83a8dceea7ce90e4baae8c173e11f52d81ce0cd4c2

Aliases

arxiv: 0805.0045 · arxiv_version: 0805.0045v4 · doi: 10.48550/arxiv.0805.0045 · pith_short_12: YPILJ6ME4UFS · pith_short_16: YPILJ6ME4UFS7CGB · pith_short_8: YPILJ6ME

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YPILJ6ME4UFS7CGB3OB2RXHOU7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c3d0b4f984e50b2f88c1db83a8dceea7ce90e4baae8c173e11f52d81ce0cd4c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "383bdd6734bb824e315ea06b6949a26aa9b5d00c7fc51a71a2a1e41c680fec88",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-05-01T03:43:52Z",
    "title_canon_sha256": "34e47ac1bba378fedcc79cc8f03a2bc5f607be5c28eb51dcfed54a513d715c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.0045",
    "kind": "arxiv",
    "version": 4
  }
}